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Finding the Third Proportional to 120.75 and 237.56

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Solution

The third proportional to 120.75 and 237.56 is: 467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.75 : 237.56 = 237.56 : x
  2. Step 2: Convert to fraction form
    120.75/237.56 = 237.56/x
  3. Step 3: Cross multiply
    120.75x = 237.56 × 237.56
  4. Step 4: Simplify right side
    120.75x = 56,435.94
  5. Step 5: Solve for x
    x = 56,435.94/120.75
  6. Step 6: Final answer
    x = 467.38

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.